FR type methods for systems of large-scale nonlinear monotone equations

被引：34
作者：
Papp, Zoltan [1 ]
Rapajic, Sanja [1 ]
机构：
[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 269卷
关键词：
Nonlinear monotone systems; Hyperplane projection method; Derivative-free line search; Conjugate gradient directions; CONJUGATE-GRADIENT METHODS; BFGS METHOD; CONVERGENCE; BARZILAI;
D O I：
10.1016/j.amc.2015.08.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A large class of iterative methods for solving nonlinear monotone systems is developed in recent years. In this paper we propose some new FR type directions in the frame of algorithm which is a combination of conjugate gradient approach and hyperplane projection technique. Derivative-free, function-value-based line search combined with projection procedure is used for globalization strategy. Numerical performances of methods with different search directions are compared. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：816 / 823
页数：8
相关论文
共 50 条
  • [21] Nonmonotone spectral method for large-scale symmetric nonlinear equations
    Cheng, Wanyou
    Chen, Zixin
    NUMERICAL ALGORITHMS, 2013, 62 (01) : 149 - 162
  • [22] An accelerated derivative-free method for solving large-scale nonlinear non-monotone equations
    Liu, J. K.
    Zhang, N.
    Tang, B.
    Xiong, J.
    Feng, Y. M.
    OPTIMIZATION, 2025,
  • [23] A fast inertial self-adaptive projection based algorithm for solving large-scale nonlinear monotone equations?
    Zhang, N.
    Liu, J. K.
    Zhang, L. Q.
    Lu, Z. L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 426
  • [24] A Modified Conjugate Gradient Method for Solving Large-Scale Nonlinear Equations
    Guan, Hongbo
    Wang, Sheng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021 (2021)
  • [25] A derivative-free memoryless BFGS hyperplane projection method for solving large-scale nonlinear monotone equations
    Huang, Fei
    Deng, Songhai
    Tang, Jinyuan
    SOFT COMPUTING, 2023, 27 (07) : 3805 - 3815
  • [26] A derivative-free memoryless BFGS hyperplane projection method for solving large-scale nonlinear monotone equations
    Fei Huang
    Songhai Deng
    Jinyuan Tang
    Soft Computing, 2023, 27 : 3805 - 3815
  • [27] A class of three-term derivative-free methods for large-scale nonlinear monotone system of equations and applications to image restoration problems
    Wang, Xiaoliang
    Tian, Yuzhu
    Pang, Liping
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 1269 - 1296
  • [28] A Derivative-Free Liu-Storey Method for Solving Large-Scale Nonlinear Systems of Equations
    Su, Zhenhua
    Li, Min
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [29] On sampling Kaczmarz-Motzkin methods for solving large-scale nonlinear systems
    Zhang, Feiyu
    Bao, Wendi
    Li, Weiguo
    Wang, Qin
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (03)
  • [30] A PRP type method for systems of monotone equations
    Cheng, Wanyou
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 15 - 20
12345